Math 7/Unit 01 Practice Test: Algebraic Reasoning
Name:
Date:
Define the terms below and give an example.
1. coefficient
2. exponent
3. variable
4. Write the rules for the Order of Operations.
5. First, write in expanded form as a product of the base as a factor. Then simplify.
6. Simplify .
7. What is 821,000 in scientific notation?
A. /B. /
C. /
D. /
8. What is in standard form?
9. Choose the most appropriate metric unit for the length of your classroom.
A. / kilometerB. / meter
C. / centimeter
D. / millimeter
10. Write this set of measures in order from least to greatest: 1.5 g, 1300 mg, 125 kg.
11. Convert 52,000 millimeters to kilometers. Show your work; explain your thinking.
12. Simplify . Show your work.
13. Identify which operation is performed second in this problem: 48 ÷ 6 • 2 + 4 – 3
14. Which expression is equivalent to (6 + 8) + 2 and illustrates the associative property of addition?
A. / (8 + 6) + 2B. / 6 + (2 + 8)
C. / 6 + (8 + 2)
D. / 6 + 8 + 2
15. Using the variables a and b, show an example of the commutative property.
16. A teacher puts 32 green marbles and 8 yellow marbles in each of 6 bags. Which expression could be used to determine the total number of marbles of each color that the teacher puts in the bags?
A. /B. /
C. /
D. /
17. Which expression is equivalent to
A.B.
C.
D.
18. (a) Write an algebraic expression for “8 less than number”.
(b) Write an algebraic expression for “quotient of a number and 9”.
19. Combine like terms:
Show your work and explain how you used the commutative and associative properties to simplify the expression.
20. Evaluate Show your work.
21. Evaluate Show your work.
Solve each equation. Show all your work.
22.
23.
24.
Math 7 Practice Test Unit 01: Algebraic Reasoning Page 1 of 5